document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459069>Question 459069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help!! Thank you!!!<BR>\n" );
document.write( "The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.<BR>\n" );
document.write( "Robert, 1.28 	     Juan, 1.89 	     Susan, –1.95<BR>\n" );
document.write( "Joel, 0.00 	     Jan, –0.96 	     Linda, 1.46\r<BR>\n" );
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document.write( "If the mean score was &#956; = 149 with standard deviation &#963; = 20, what was the final exam score for each student? (Round your answers to the nearest whole number.)<BR>\n" );
document.write( "Robert 	<BR>\n" );
document.write( "Joel 	<BR>\n" );
document.write( "Jan 	<BR>\n" );
document.write( "Juan 	<BR>\n" );
document.write( "Susan 	<BR>\n" );
document.write( "Linda 	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314849 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that the z score is based on the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28x-mu%29%2Fsigma ALIGN=MIDDLE  ALT=\"z=%28x-mu%29%2Fsigma\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the mean and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma ALIGN=MIDDLE  ALT=\"sigma\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the standard deviation. (note: the z score tells you where this score lies with respect to the mean and how far it is away from the mean)\r<BR>\n" );
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document.write( "In this case, you're given the value of z (the standard z score) for each person, and they want you to find x (the actual score)\r<BR>\n" );
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document.write( "So in the case of Robert for instance, he has a z score of 1.28\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=1.28 ALIGN=MIDDLE  ALT=\"z=1.28\"   DISABLED_style= \"max-width:90%; height:auto;\" > for Robert.\r<BR>\n" );
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document.write( "Plug this into the formula above to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.28=%28x-mu%29%2Fsigma ALIGN=MIDDLE  ALT=\"1.28=%28x-mu%29%2Fsigma\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.28=%28x-149%29%2F20 ALIGN=MIDDLE  ALT=\"1.28=%28x-149%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=149 ALIGN=MIDDLE  ALT=\"mu=149\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=20 ALIGN=MIDDLE  ALT=\"sigma=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.28=%28x-149%29%2F20 ALIGN=MIDDLE  ALT=\"1.28=%28x-149%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.28%2A20=x-149 ALIGN=MIDDLE  ALT=\"1.28%2A20=x-149\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25.6=x-149 ALIGN=MIDDLE  ALT=\"25.6=x-149\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25.6%2B149=x ALIGN=MIDDLE  ALT=\"25.6%2B149=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=174.6=x ALIGN=MIDDLE  ALT=\"174.6=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=174.6 ALIGN=MIDDLE  ALT=\"x=174.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So in Robert's case, when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=174.6 ALIGN=MIDDLE  ALT=\"x=174.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=1.28 ALIGN=MIDDLE  ALT=\"z=1.28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So Robert's actual score is 174.6\r<BR>\n" );
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document.write( "Round this to the nearest whole number (as instructed) to get 175. \r<BR>\n" );
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document.write( "So Robert's final exam score to the nearest whole number is 175.\r<BR>\n" );
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document.write( "Simply repeat these steps to find the final exam scores for the rest of the students. </SPAN>\n" );
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